There could be several reasons why your backlinks are not showing in Google Webmaster Tools (now known as Google Search Console):
Crawl Issues: Google might not have crawled or indexed the pages containing your backlinks yet. It can take some time for Google's bots to discover and index new backlinks.
Noindex or Nofollow Tags: If the pages containing your backlinks have a 'noindex' tag or are set to 'nofollow,' search engines might not crawl or index those links.
Low Quality or Spammy Backlinks: Google might not show backlinks that are considered low quality or spammy. They often ignore or penalize such links, and they may not appear in your Webmaster Tools.
Tool Limitations: Sometimes, Google Search Console might not display all backlinks. It might only show a sample or a subset of the total links pointing to your site.
New Backlinks: If the backlinks are relatively new, it might take some time for them to appear in Webmaster Tools. Google's indexing process is not immediate.
Data Processing Delay: There can be a delay in data processing or reporting in the Google Search Console. It's possible that the backlinks are there but have not been updated or shown yet.
To address this issue:
Check for Errors: Look for any errors or issues in the pages where your backlinks are supposed to appear. Ensure they are accessible to search engine crawlers and don't have any technical issues.
Fetch as Google: Use the Fetch as Google tool in the Search Console to request indexing of the specific pages containing your backlinks. This might prompt Google to crawl and index those pages faster.
Review Backlink Quality: Ensure that the backlinks are from reputable and relevant sources. Disavow any toxic or spammy backlinks using the Disavow Tool in Google Search Console if necessary.
Patience: If the backlinks are relatively new, give it some time. It can take weeks or even months for some links to appear in the Search Console.
If you've addressed these potential issues and your backlinks are still not showing up, consider seeking further assistance from Google's support or SEO professionals for a more in-depth analysis of the situation.